Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
11160q |
Isogeny class |
Conductor |
11160 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-282487500000000 = -1 · 28 · 36 · 511 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64812,6402116] |
[a1,a2,a3,a4,a6] |
Generators |
[152:250:1] |
Generators of the group modulo torsion |
j |
-161332732109824/1513671875 |
j-invariant |
L |
4.8133928291336 |
L(r)(E,1)/r! |
Ω |
0.55132447617266 |
Real period |
R |
0.39684540157059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22320m1 89280bl1 1240a1 55800r1 |
Quadratic twists by: -4 8 -3 5 |